For further discussion, here's a list of states by # of teams (FRC only).
I have not compiled any data for teams outside the United States.
As I was doing this, it occurred to me that Mark McLeod has probably already done this, with charts and graphs.
1. CA - 175
2. MI - 171
3. TX - 144
4. MN - 131
5. NY - 127
6. WA - 82
7. VA - 68
8. NJ - 64
9. FL - 56
10. MA - 53
11. MO - 52
12. OH, OK, PA - 48
13. IL - 43
14. CT - 42
15. AZ - 40
16. GA, NC - 36
17. CO, IN, OR - 35
18. MD - 34
19. HI, NH - 32
20. WI - 31
21. SC - 25
22. LA - 24
23. KS - 19
24. UT - 18
25. TN - 16
26. DC, KY - 14
27. ID - 13
28. NV - 11
29. AL, MS - 10
30. ME - 8
31. WY - 7
32. MT - 6
33. RI, WV - 5
34. AR, IA, ND, VT - 3
35. AK, DE, NM, PR - 2
NE, SD - 0 teams

Key:
0 Black
1-10 Brown
11-20 Red
21-30 Orange
31-40 Yellow
41-50 Green
51-60 Blue
61-70 Violet
71-80 White
81-90 Gray
91-100 Pink
100+ Gold
Edit: It is my hope that this gives us a more holistic picture of the spread of FRC teams. Before we start assigning "good" "better" and "best" it'd be a good idea to determine what exactly we mean as "region" and whether it is classified by pure geography or by team saturation.